I think this is it. I had to try this a few times. It was the 2/3 times 4x that threw me a couple times. I kept doing the same thing you are doing.
Please see below. Hope it helps...sheesh!
Original 2/3(7/8-4x)-5/8=3/8
1)Expand first set
=> ((2/3)(7/8)-(2/3)(4)x)-5/8=3/8
2)ADD 5/8 to both sides, cancelling the one on the left
=> ((14/24)-8/3(x))=8/8
3)SUBTRACT 14/24 from both sides, cancelling the one on the left
=> -8/3(x)=8/8-14/24
4)MULTIPLY BOTH SIDES BY "3"
=> -8x=24/8-42/24
5)THEN Divide BOTH SIDES BY "-8" OR MULTIPLY BY "-1/8"
=> x=((24/8)(-1/8))-((42/24)(-1/8))
6)Resulting in
=> x=(24/64)+(42/192)
7)Reduce Fractions using GCF (64)
=> x=-(24/64)+(14/64)
8)Add the Fractions
=> x=-10/64
9)Reduce Fraction
=> x=-5/32 (ANSWER!!!)
~Rich
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